2005/10/31 by Michael Atiyah, Atiyah, Michael, Graeme Segal +1 · 2 citations
Mathematics · #55N15 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.math/0510674
openalex publication_date 2005/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We explore the relations of twisted K-theory to twisted and untwisted classical cohomology. We construct an Atiyah-Hirzebruch spectral sequence, and describe its differentials rationally as Massey products. We define the twisted Chern character. We also discuss power operations in the twisted theory, and the role of the Koschorke classes.